Here is the full list of all 74 Crash Bandicoot N. Sane Trilogy achievements. It takes around 40-50 hours to unlock all of the achievements on Windows.
Die.
Avoid whatever he's flinging at you.
Shoot 5 of them in a single level.
Have your bazooka ready.
Shoot the Imposter
Shoot a background UFO in Future Tense.
Earn 30 Relics (gold or better)
Defeat 5 enemies with Coco's Savage Hurricane Spin
Earn 27 Relics (gold or better)
Earn 10 Relics (gold or better)
Earn 5 Relics
Defeat 5 enemies with Coco's Double Leg Drop
Fly, then die.
Do hard time
Miss a lot of boxes.
Defeat Ripper Roo
In a single level, spin an enemy into another enemy twice
Spin away an Extra Life
Enter a Bonus Round after collecting 3 Character Tokens
Defeat Koala Kong
Defeat Pinstripe Potoroo
Discover a Gem Path after earning a Color Gem
Earn the Key in Sunset Vista
Earn the Key in Jaws of Darkness
Die as Crash.
Defeat N. Brio
Defeat N. Cortex
Earn 13 Gems
Earn 26 Gems
Earn 26 Relics (gold or better)
Defeat 5 enemies with Coco's Spin
Earn 99 Lives
Defeat the Komodo Brothers
Discover a "?" Bonus Path
Don't feel guilty about jumping on him.
Just "forget" it. Repeatedly.
Defeat Tiny Tiger
Defeat N. Gin
Discover a Death Route
Discover the Secret Exit in Air Crash
Discover the Secret Exit in Bear Down
Discover the Secret Exit in Diggin' It
Unlocked the Secret Exit in Unbearable
Unlocked the Secret Exit in Hangin' Out
Earn 21 Gems
Earn 42 Gems
Defeat Dingodile
Defeat N. Tropy
Discovered the Secret Exit in Road Crash
Discovered the Secret Exit in Dino Might!
Earn the Gems in the bonus levels
Seek and destroy
Seek and destroy. Again.
Defeat Papu-Papu